[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2005.42.2.213

SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS

DRAGOMIR S. S. (SCHOOL OF COMMUNICATIONS AND INFORMATICS, VICTORIA UNIVERSITY OF TECHNOLOGY)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.2, 2005 , pp. 213-230 More about this Journal

Abstract

Companions of Ostrowski's integral inequality for absolutely continuous functions and applications for composite quadrature rules and for p.d.J.'s are provided.

Keywords

Ostrowski's inequality; trapezoid rule; midpoint rule;

Citations & Related Records

Reference

1	A. Guessab and G. Schmeisser, Sharp integral inequalities of the Hermite- Hadamard type, J. Approx. Theory 115 (2002), 260-288 DOI ScienceOn
2	S. S. Dragomir and Th. M. Rassias (Ed.), Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, Dor-drecht/Boston/London, 2002
3	S. S. Dragomir, A refinement of Ostrowski's inequality for absolutely continuous functions whose derivatives belong to $L_{\infty}$ and applications, Libertas Math. 22 (2002), 49-64

Reference

1	M. Emin Ozdemir. (2015) Arab Journal of Mathematical Sciences Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications / 21 (1) , 53
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	Wenjun Liu. (2014) Applied Mathematics and Computation Approximating the finite Hilbert transform via a companion of Ostrowski’s inequality for function of bounded variation and applications / 247 , 373
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4	M. W. Alomari. (2012) Ukrainian Mathematical Journal A companion of Dragomir’s generalization of the Ostrowski inequality and applications to numerical integration / 64 (4) , 491
1	(2013) Journal of Inequalities and Applications Some companions of perturbed Ostrowski-type inequalities based on the quadratic kernel function with three sections and applications / 2013 (1)